10762817536 has 39 divisors (see below), whose sum is σ = 21536293233. Its totient is φ = 5378088960.

The previous prime is 10762817519. The next prime is 10762817543. The reversal of 10762817536 is 63571826701.

The square root of 10762817536 is 103744.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8270811136 + 2492006400 = 90944^2 + 49920^2 .

It is a super-2 number, since 2×10762817536² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6638806 + ... + 6640426.

It is an arithmetic number, because the mean of its divisors is an integer number (552212647).

Almost surely, 2^10762817536 is an apocalyptic number.

10762817536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10762817536 is the 103744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10762817536

10762817536 is an abundant number, since it is smaller than the sum of its proper divisors (10773475697).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10762817536 is an frugal number, since it uses more digits than its factorization.

10762817536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 10762817536 in words is "ten billion, seven hundred sixty-two million, eight hundred seventeen thousand, five hundred thirty-six".